Hölder estimates and large time behavior for a nonlocal doubly nonlinear evolution

DOI10.2140/apde.2016.9.1447zbMath1351.35050arXiv1511.05605OpenAlexW3104871551MaRDI QIDQ325829

Erik Lindgren, Ryan Hynd

Publication date: 11 October 2016

Published in: Analysis \& PDE (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1511.05605

zbMATH Keywords

eigenvalue problemnonlocal equationHölder estimatesfractional \(p\)-Laplaciandoubly nonlinear evolution

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Degenerate elliptic equations (35J70) Weak solutions to PDEs (35D30) Nonlinear evolution equations (47J35) Viscosity solutions to PDEs (35D40) Fractional partial differential equations (35R11) Integro-partial differential equations (35R09)

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The Cauchy problem for the fast \(p\)-Laplacian evolution equation. Characterization of the global Harnack principle and fine asymptotic behaviour ⋮ On a comparison principle for Trudinger's equation ⋮ Some local properties of subsolution and supersolutions for a doubly nonlinear nonlocal \(p\)-Laplace equation ⋮ Large time behavior for a nonlocal nonlinear gradient flow ⋮ The Mathematical Theories of Diffusion: Nonlinear and Fractional Diffusion ⋮ Local boundedness of solutions to non-local parabolic equations modeled on the fractional \(p\)-Laplacian ⋮ Global existence and blow-up of weak solutions for a class of fractional \(p\)-Laplacian evolution equations ⋮ Approximation of the least Rayleigh quotient for degree \(p\) homogeneous functionals ⋮ Continuity of solutions to a nonlinear fractional diffusion equation ⋮ Lipschitz Regularity for a Homogeneous Doubly Nonlinear PDE

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